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From: Greg Heath <heath@alumni.brown.edu>
Newsgroups: comp.soft-sys.matlab
Subject: Re: bandlimited Gaussian signal
Date: Mon, 12 Apr 2010 03:46:57 -0700 (PDT)
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On Apr 12, 6:37 am, Greg Heath <he...@alumni.brown.edu> wrote:
> On Apr 8, 6:56 am, "Frank " <allinone_2...@yahoo.com.hk> wrote:
>
> > How can I create a bandlimited white Gaussian signal?
>
> > For example, what can I do if I want to construct a Gaussian signal with zero mean and extending over the frequency band [-0.75pi, 0.75pi]?
>
> > Thanks a lot.
>
> Find a reference that gives you the relationship between the
> spread of a Gaussian time function and the spread of it's
> Gaussian Fourier transform. Then find the level at
> which you are defining the boundaries of the passband
> (e.g., -3dB, -6dB, or -10dB).
>
> The rest should follow more easily.

I missed the adjective "white" which indicates you are not looking
for
a deterministic Gaussian pulse but a noise signal with a flat
spectrum
and a Gaussian probability distribution.

Sorry.

However, if there is no answer when I come back tonight, I will
try to help.

Greg


I have a sneaky feeling that you are not looking for a determin
> Hope this helps.
>
> Greg